{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SIVKRFGK3D2ENSB4IJJ5KAZVOS","short_pith_number":"pith:SIVKRFGK","canonical_record":{"source":{"id":"1305.1838","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T14:55:16Z","cross_cats_sorted":["math.AP","math.MP","math.NA"],"title_canon_sha256":"afe078d3f333d998423e7777f66032c2443a7369c3bf8a0e500b480fc03a2172","abstract_canon_sha256":"c6ade007b5df8ca4e9accd6de2628847a38256df6e8bbdc61eec1b8c219af52d"},"schema_version":"1.0"},"canonical_sha256":"922aa894cad8f446c83c4253d5033574877e0abe76754c0ecb891ae88323c632","source":{"kind":"arxiv","id":"1305.1838","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1838","created_at":"2026-05-18T03:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1838v1","created_at":"2026-05-18T03:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1838","created_at":"2026-05-18T03:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"SIVKRFGK3D2E","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SIVKRFGK3D2ENSB4","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SIVKRFGK","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SIVKRFGK3D2ENSB4IJJ5KAZVOS","target":"record","payload":{"canonical_record":{"source":{"id":"1305.1838","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T14:55:16Z","cross_cats_sorted":["math.AP","math.MP","math.NA"],"title_canon_sha256":"afe078d3f333d998423e7777f66032c2443a7369c3bf8a0e500b480fc03a2172","abstract_canon_sha256":"c6ade007b5df8ca4e9accd6de2628847a38256df6e8bbdc61eec1b8c219af52d"},"schema_version":"1.0"},"canonical_sha256":"922aa894cad8f446c83c4253d5033574877e0abe76754c0ecb891ae88323c632","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:11.097174Z","signature_b64":"5lWNOB4ggBu4C4J0L1u6esykhsGBn1yptNyEgigpAMv7KyxL8V+Z2pEiRkS5b3C0xPVF2Nwzz1ZlpuLMP35VAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"922aa894cad8f446c83c4253d5033574877e0abe76754c0ecb891ae88323c632","last_reissued_at":"2026-05-18T03:26:11.096342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:11.096342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.1838","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JAUC6+xrOLZSf9+N5mPgzt5WW6XsK/LI2mOue3VYckwKdvkUTTmzZUZZUS74yM1gGKhHUO6A/qXmrU4PBrArDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:01:38.006632Z"},"content_sha256":"98eca54aedc770c9de3cef40c54467747f0fea88045b115b5014125aa529e13a","schema_version":"1.0","event_id":"sha256:98eca54aedc770c9de3cef40c54467747f0fea88045b115b5014125aa529e13a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SIVKRFGK3D2ENSB4IJJ5KAZVOS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Locating Multiple Multi-scale Electromagnetic Scatterers by A Single Far-field Measurement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","math.NA"],"primary_cat":"math-ph","authors_text":"Hongyu Liu, Jingzhi Li, Qi Wang","submitted_at":"2013-05-08T14:55:16Z","abstract_excerpt":"Two inverse scattering schemes were recently developed in \\cite{LiLiuShangSun} for locating multiple electromagnetic (EM) scatterers, respectively, of small size and regular size compared to the detecting EM wavelength. Both schemes make use of a single far-field measurement. The scheme of locating regular-size scatterers requires the {\\it a priori} knowledge of the possible shapes, orientations and sizes of the underlying scatterer components. In this paper, we extend that imaging scheme to a much more practical setting by relaxing the requirement on the orientations and sizes. We also develo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1838","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6GWV69TuFdSltYJkwYN0bjporgmE9dp+UxvfpARJJrieqxwxE5wapGVkZaRfsXb3SrTbIjddSzzsOmavp/DuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:01:38.007331Z"},"content_sha256":"251fd68800f01849d244b080bb087c5d5798f55a50c99a1e866eec861f7eb37c","schema_version":"1.0","event_id":"sha256:251fd68800f01849d244b080bb087c5d5798f55a50c99a1e866eec861f7eb37c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SIVKRFGK3D2ENSB4IJJ5KAZVOS/bundle.json","state_url":"https://pith.science/pith/SIVKRFGK3D2ENSB4IJJ5KAZVOS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SIVKRFGK3D2ENSB4IJJ5KAZVOS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T06:01:38Z","links":{"resolver":"https://pith.science/pith/SIVKRFGK3D2ENSB4IJJ5KAZVOS","bundle":"https://pith.science/pith/SIVKRFGK3D2ENSB4IJJ5KAZVOS/bundle.json","state":"https://pith.science/pith/SIVKRFGK3D2ENSB4IJJ5KAZVOS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SIVKRFGK3D2ENSB4IJJ5KAZVOS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SIVKRFGK3D2ENSB4IJJ5KAZVOS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c6ade007b5df8ca4e9accd6de2628847a38256df6e8bbdc61eec1b8c219af52d","cross_cats_sorted":["math.AP","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T14:55:16Z","title_canon_sha256":"afe078d3f333d998423e7777f66032c2443a7369c3bf8a0e500b480fc03a2172"},"schema_version":"1.0","source":{"id":"1305.1838","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1838","created_at":"2026-05-18T03:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1838v1","created_at":"2026-05-18T03:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1838","created_at":"2026-05-18T03:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"SIVKRFGK3D2E","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SIVKRFGK3D2ENSB4","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SIVKRFGK","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:251fd68800f01849d244b080bb087c5d5798f55a50c99a1e866eec861f7eb37c","target":"graph","created_at":"2026-05-18T03:26:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Two inverse scattering schemes were recently developed in \\cite{LiLiuShangSun} for locating multiple electromagnetic (EM) scatterers, respectively, of small size and regular size compared to the detecting EM wavelength. Both schemes make use of a single far-field measurement. The scheme of locating regular-size scatterers requires the {\\it a priori} knowledge of the possible shapes, orientations and sizes of the underlying scatterer components. In this paper, we extend that imaging scheme to a much more practical setting by relaxing the requirement on the orientations and sizes. We also develo","authors_text":"Hongyu Liu, Jingzhi Li, Qi Wang","cross_cats":["math.AP","math.MP","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T14:55:16Z","title":"Locating Multiple Multi-scale Electromagnetic Scatterers by A Single Far-field Measurement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1838","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:98eca54aedc770c9de3cef40c54467747f0fea88045b115b5014125aa529e13a","target":"record","created_at":"2026-05-18T03:26:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c6ade007b5df8ca4e9accd6de2628847a38256df6e8bbdc61eec1b8c219af52d","cross_cats_sorted":["math.AP","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T14:55:16Z","title_canon_sha256":"afe078d3f333d998423e7777f66032c2443a7369c3bf8a0e500b480fc03a2172"},"schema_version":"1.0","source":{"id":"1305.1838","kind":"arxiv","version":1}},"canonical_sha256":"922aa894cad8f446c83c4253d5033574877e0abe76754c0ecb891ae88323c632","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"922aa894cad8f446c83c4253d5033574877e0abe76754c0ecb891ae88323c632","first_computed_at":"2026-05-18T03:26:11.096342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:11.096342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5lWNOB4ggBu4C4J0L1u6esykhsGBn1yptNyEgigpAMv7KyxL8V+Z2pEiRkS5b3C0xPVF2Nwzz1ZlpuLMP35VAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:11.097174Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1838","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98eca54aedc770c9de3cef40c54467747f0fea88045b115b5014125aa529e13a","sha256:251fd68800f01849d244b080bb087c5d5798f55a50c99a1e866eec861f7eb37c"],"state_sha256":"e6e015f4eeb631237002abcafe28761a0d5cc4351f8b02cf67f422d072235e37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CT4zmBbHrVb30+cop2Ug3QReJJqYNdmvhevC4uxafkMWxkbHAqsupXtQMli94AkDh1V49NSbb11gSc4IKEAACg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T06:01:38.011513Z","bundle_sha256":"cff9fae4b39a83d7d99d83a0df584b8e805b363e9d79de360a48c2e98794261c"}}